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Finding the Fourth Proportional to 135,786.27, 187,396.74 and 75,368.58

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Solution

The fourth proportional to 135,786.27, 187,396.74 and 75,368.58 is: 104,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,786.27 : 187,396.74 = 75,368.58 : x
  2. Step 2: Convert to fraction form
    135,786.27/187,396.74 = 75,368.58/x
  3. Step 3: Cross multiply
    135,786.27x = 187,396.74 × 75,368.58
  4. Step 4: Simplify right side
    135,786.27x = 14,123,825,487.69
  5. Step 5: Solve for x
    x = 14,123,825,487.69/135,786.27
  6. Step 6: Final answer
    x = 104,015.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.